What is the value of the current flowing in 3 Ω resistor?

- 10 A
- 1 A
- 7 A
- 4 A

Option 4 : 4 A

Free

CT 1: Network Theory 1

11608

10 Questions
10 Marks
10 Mins

By re-drawing the dc circuit, we get

Let voltage across node 'A' is V_{A}

Now applying nodal analysis at node 'A', we get

\(\frac{{{V_A} - 20}}{2} + \frac{{{V_A}}}{5+3} - 10 = 0\;\)

4V_{A} - 80 + V_{A} - 80 = 0

5V_{A} = 160

V_{A} = 32 volts

Now current flowing through 3Ω resistor can be calculated as

\(I = \frac{{{V_A}}}{8} = \frac{{32}}{8}\)

**I = 4 A**

India’s **#1 Learning** Platform

Start Complete Exam Preparation

Daily Live MasterClasses

Practice Question Bank

Mock Tests & Quizzes

Trusted by 2,17,09,873+ Students

Start your FREE coaching now >>

131 Total Tests 12 Free Tests

Start Free Test
131 Total Tests 12 Free Tests

Start Free Test
Testbook Edu Solutions Pvt. Ltd.

1st & 2nd Floor, Zion Building,

Plot No. 273, Sector 10, Kharghar,

Navi Mumbai - 410210

[email protected]
Plot No. 273, Sector 10, Kharghar,

Navi Mumbai - 410210

Toll Free:1800 833 0800

Office Hours: 10 AM to 7 PM (all 7 days)